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A Reciprocal Transformation for the Constant Astigmatism Equation

Vernadsky National Library of Ukraine

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Title A Reciprocal Transformation for the Constant Astigmatism Equation
 
Creator Hlaváč, A.
Marvan, M.
 
Description We introduce a nonlocal transformation to generate exact solutions of the constant astigmatism equation zyy+(1/z)xx+2=0. The transformation is related to the special case of the famous Bäcklund transformation of the sine-Gordon equation with the Bäcklund parameter λ=±1. It is also a nonlocal symmetry.
 
Date 2019-02-10T09:55:00Z
2019-02-10T09:55:00Z
2014
 
Type Article
 
Identifier A Reciprocal Transformation for the Constant Astigmatism Equation / A. Hlaváč, M. Marvan // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 31 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 53A05; 35A30; 35C05; 37K35
DOI:10.3842/SIGMA.2014.091
http://dspace.nbuv.gov.ua/handle/123456789/146605
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України